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129110040 = 233252331503
BaseRepresentation
bin1111011001000…
…01000000011000
322222221110200100
413230201000120
5231023010130
620451135400
73125263053
oct754410030
9288843610
10129110040
1166974314
12372a4560
1320996697
141320ba9a
15b504c60
hex7b21018

129110040 has 192 divisors, whose sum is σ = 452874240. Its totient is φ = 31806720.

The previous prime is 129110029. The next prime is 129110041. The reversal of 129110040 is 40011921.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 129109995 and 129110022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129110041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256429 + ... + 256931.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2129110040 is an apocalyptic number.

129110040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129110040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226437120).

129110040 is an abundant number, since it is smaller than the sum of its proper divisors (323764200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

129110040 is a wasteful number, since it uses less digits than its factorization.

129110040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 129110040 is about 11362.6598998650. The cubic root of 129110040 is about 505.4210650228.

Adding to 129110040 its reverse (40011921), we get a palindrome (169121961).

The spelling of 129110040 in words is "one hundred twenty-nine million, one hundred ten thousand, forty".